Figure $1$: Graphical representation $ofr(),-2+2[Questions8-10]$

$(5)$ The polar curve formed $byr()in$ Figure $2$ crosses a radius $1$ circle centered $at(x,y)=$

$(0,0)at$ how many distinct points?

$(A)1$

$(B)2$

$(C)3$

$(D)4$

$(E)$ None $of(A)-(D)$

Reason:

$(6)$ The polar curve formed $byr()in$ Figure $2$ crosses a radius $1$ circle centered $at(x,y)=$

$(0,1)at$ how many distinct points?

$(A)1$

$(B)2$

$(C)3$

$(D)4$

$(E)$ None $of(A)-(D)$

Reason:

$(7)$ The polar curve formed $byr()in$ Figure $2$ crosses the nonnegative $x-$axis $(y=0,x0)$

$at$ how many distinct points?

$(A)4$

$(B)3$

$(C)2$

$(D)1$

$(E)$ None $of(A)-(D)$

Reason:

$(8)$ Let $r()beas$ defined $in$ Figure $2.$ Which polar curves $f()do$ not cross the origin

$(x,y)=(0,0)?$

$(A)f()=(r()-2{)}^2$

$(B)f()=(r()+3{)}^2$

$(C)f()=(r(){)}^2$

$(D)$ All $of(A)-(C)$

$(E)$ None $of(A)-(D)$

Reason: